6816511511040 has 640 divisors, whose sum is σ = 27206343825408. Its totient is φ = 1414453985280.

The previous prime is 6816511511009. The next prime is 6816511511057. The reversal of 6816511511040 is 401151156186.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 6816511511040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447651907 + ... + 447667133.

Almost surely, 2^{6816511511040} is an apocalyptic number.

6816511511040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6816511511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603171912704).

6816511511040 is an abundant number, since it is smaller than the sum of its proper divisors (20389832314368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6816511511040 is a wasteful number, since it uses less digits than its factorization.

6816511511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16028 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The spelling of 6816511511040 in words is "six trillion, eight hundred sixteen billion, five hundred eleven million, five hundred eleven thousand, forty".